You did a fine job on the cross. The joinery and workmanship is spot on.
The photo makes it pretty clear the bloodwood is an inlay and doesn't go all the way thru.
Since you requested opinions: I think it would look better if you kept the horizontal members
from wrapping around the curve AND if the ratio of horizontal elements to vertical elements matched
the Golden ratio (1.618) with the intersection placed such that the horizontal elements and top vertical
element are equal in length.
The first time I personally noticed this was standing under the dome of the Duomo in Milan and looking up and around. It is an inspiring vision.
The intersection of the cross laid out in the aisles formed by the Transepts, Presbytery, and Nave
appeared as such.
It is, most likely, typical of many cathedrals in the architectural layout.
To create that, you'd have to make stop blocks to keep from cutting so far. It'd probably be safest and
easiest to do that using a router in a table w/ fence and stop blocks. Further, once you did that,
you'd want to bring the cross down more towards the center of the upper barrel but most likely
still in the upper 2/5's.
And, I'd maintain the bloodwood centerband -- it's an attractive feature.